Here's my working for the first one (ie.question 7):
I can't really see what's wrong with my answer. It's different to the one in the book so I must be making a mistake somewhere.
Like the title of this thread suggests, I need to find the length of a section of the curve. I've done most of the questions but I got stuck on these ones:
I'm clearly doing the polar co-ordinate ones incorrectly, and the parametric one has me slightly confused (are the limits t=at^2 and t=0?)
If anyone can solve any of these it would be a great help!
If anyone wants I can post my work so far. It's just really long!
NOTE THAT 7 HAS BEEN DONE! =D
Just to add for the polar ones have a look here
Pauls Online Notes : Calculus II - Arc Length with Polar Coordinates
theres a good derivation and the example given is pretty much Q11 for you
I've done the integration and i've worked through it but i've hit a snag:
Is there an easier way to work this out? I've practically covered my whiteboard in working and i'm not any closer to getting what I need to.
My integration went like:
lol! That's waaaaaay easier than doing it the way I was.
Thanks.
I'm working on question 11 now. I was able to get an answer for it before, but it was different to the one in the back of the book so i'll read what's at the address you posted and try again.